Hi Abby. You have to understand the order of operations! There is huge difference between -4 + sin(x) = -8 + v2/2 and
-4 + sin(x) = (-8 + v2) / 2 !!!!!!!
The answer for first one is empty set of numbers, and for another one:
sin(x) = -4 + v2/2 + 4
sin(x) = v2/2 ---> x_{1} = 45^{o} and x_{2} = 135^{o} on the segment [0, 2pi].

## Comments

Hi Abby.

There is huge difference between -4 + sin(x) = -8 + v2/2 andYou have to understand the order of operations!-4 + sin(x) = (-8 + v2) / 2 !!!!!!!

The answer for first one is

, and for another one:empty set of numberssin(x) = -4 + v2/2 + 4

sin(x) = v2/2 ---> x

_{1}= 45^{o}and x_{2}= 135^{o}on the segment [0, 2pi].